As the Assembly complex is undergoing renovation, the voting is taking place at Swarnim Sankul-2 complex inside the secretariat.
Anandiben Patel, who is the MLA grom Ghatlodia in Ahmedabad, cast her vote.
Congress chief whip Balwantsinh Rajput said MLAs and MPs can also cast vote in Delhi.
Meanwhile, rebel BJP MLA Nalin Kotadia said he will vote against the NDA candidate to protest "atrocities" against members of the Patel community during the 2015 quota agitation.
Kotadia was suspended from the party recently.
In the Lok Sabha, all 26 MPs from the state belong to the BJP.
BJP president Amit Shah, the MLA from Naranpura constituency in Ahmedabad, will cast his vote in Delhi, party sources said.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)